answer only with solution.
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i think you got the answer
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option - 3 ( p = 11 or 35 ) is the correct one
Step-by-step explanation:
finding zeroes of x² - 6 x + 5 = 0:
x² - 6 x + 5 = 0
=> x² - 5 x - x + 5 = 0
=> x( x - 5 ) - 1 ( x - 5 ) = 0
=> ( x - 1) ( x- 5 ) = 0
=> x - 1 = 0 and x - 5 = 0
=> x = 1 and x = 5
applying x = 1 in x² - 12 x + p = 0:
=> (1)² - 12(1) + p = 0
=> 1 - 12 + p = 0
=> p = 0 - 1 + 12
=> p = 11
applying x = 5 in x² - 12 x + p = 0:
=> (5)² - 12(5) + p = 0
=> 25 -60 + p = 0
=> p = 0 + 60 - 25
=> p = 35
therefore option - 3 ( p = 11 or 35 ) is the correct one
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